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Randomized response technique: The procedure for collecting the information on sensitive issues by means of the survey, in which an element of chance is introduced as to what query a respondent has to answer. In the survey about abortion, for instance, a woman may be posed both the questions 'have you had an abortion' and 'have you never had an abortion', and is asked to respond to one or the other depending on the outcome of a randomizing device in her control. The response is now not revealing since no one except the respondent knows which question has been answered. Yet the data attained can be used to estimate the quantities of interest, here, for instance, the proportion of women who have had an abortion (π); if the probability of selecting the question 'have you had an abortion', P, is known and is not equal to 0.5. If y is the proportion of 'yes' answers to this question in a random sample of n respondents, one estimator of π can be given by the following formula This estimator is unbiased and has the variance, V
Bonferroni correction : A procedure for guarding against the rise in the probability of a type I error when performing the multiple signi?cance tests. To maintain probability of a
Minimum volume ellipsoid is a term for ellipsoid of the minimum volume which covers some specified proportion of the set of multivariate data. It is commonly used to construct rob
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Buffon's needle problem : A problem proposed and solved by the scientist Comte de Buffon in 1777 which includes determining the probability, p, which a needle of length l will inte
The Null Hypothesis - H0: There is no heteroscedasticity i.e. β 1 = 0 The Alternative Hypothesis - H1: There is heteroscedasticity i.e. β 1 0 Reject H0 if Q = ESS/2 >
Common cause failures (CCF): Simultaneous failures of the number of components due to a same reason. A reason can be external to the components, or it can be the single failure wh
Component bar chart : A bar chart which shows the component parts of the aggregate represented by the whole length of the bar. The component parts are shown as the sectors of bar w
ain why the simulated result doesn''t have to be exact as the theoretical calculation
Pie chart is an extensively used graphical technique for presenting relative frequencies related with the observed values of the categorical variable. The chart comprises of a cir
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